Question

verify the identity:
1) cotx/secx=cscx-sinx
2) cscx-sinx=cosxcotx
3)(1/tanx)+(1/cotx)=tanx+cotx

Answer 1

have u tried to do any of them?

Answer 2

yes. i've gotten stuck on the first one a couple of times. the third one i am just verifying my answer, i'm pretty sure i messed up somewhere

Answer 3

1) cot/sec becomes (1/tan)/(1/cos), right?

Answer 4

yep

Answer 5

\[\huge{\frac{cotx}{secx}=\frac{\frac{cosx}{sinx}}{\frac{1}{cosx}}}\]\[\huge{=\frac{\cos^2x}{sinx}}=\frac{1-\sin^2x}{sinx}\]\[\huge{=\frac{1}{sinx}-\frac{\sin^2x}{sinx}}=cosecx-sinx\]